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3 years ago

Please help me with this. I really don't get this lesson

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

Step-by-step explanation:

y = mx + b

meaning that m is the slope and b is the y - intercept

1.) You must find the slope of the line first

- you can find the slope by using rise over run

- this answer is m

2.) find where the red line crosses the y - axis

- this answer is b

3.) just plug your findings into your y = mx + b equation and it will give you your answer.

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Suppose the initial height of a Pumpkin is 12 feet and the pumpkin is being launched with a velocity of 61 feet per second. Use

iogann1982 [59]

<h2>Hello!</h2>

The answer is:

The maximum height before landing will be 69.7804 feet.

Since there is no information about the angle of the launch, we can safely assume that it's launched vertically.

So, we can calculate the maximum height of the pumpkin using the following formulas:

$y=y_o+v_{o}*t-\frac{1}{2}gt^{2}$

$v=vo-gt$

Where,

y, is the final height

$y_o$ , is the initial height

g, is the acceleration of gravity , and it's equal to:

$g=32.2\frac{ft}{s^{2} }$

t, is the time.

Now, we are given the following information:

$y_{o}=12ft\\\\v=61\frac{ft}{s}$

Then, to calculate the maximum height, we must remember that at the maximum height, the speed tends to 0, so, calculating we have:

Time calculation,

We need to use the following equation,

$v=vo-gt$

So, substituting we have:

$v=61\frac{ft}{s}-32.2\frac{ft}{s^{2}}*t\\\\-61\frac{ft}{s}=-32.2\frac{ft}{s^{2}}*t\\\\t=\frac{-61{ft}{s}}{-32.2\frac{ft}{s^{2}}}=1.8944s$

We know that it will take 1.8944 seconds to the pumpkin to reach its maximum height.

Maximum height calculation,

Now, calculating the maximum height, we need to use the following equation:

$y=y_o+v_{o}*t-\frac{1}{2}gt^{2}$

Substituting and calculating, we have:

$y=y_o+v_{o}*t-\frac{1}{2}gt^{2}$

$y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}$

$y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}\\\\y_{max}=12ft+115.5584ft-16.1\frac{ft}{s^{2}}*(3.5887s^{2})\\\\y_{max}=127.5584ft-57.7780ft=69.7804ft$

Hence, we have that the maximum height before the landing will be 69.7804 feet.

Have a nice day!

3 0

3 years ago

Identify the missing numbers below to show the result of multiplying the numbers.

saveliy_v [14]

(3.5x1016) = 3556
and
(2.2x1010) = 2222

As per question;
(3556)x(2222) = 10 a*b
By dividing both sides by "10"
we get
(3556)x(222.2) = a*b
or
(355.6)x(2222) = a*b
by comparing both sides of the equation,
we get that a = 3556 and b = 222.2
or
a = 355.6 and b = 2222

7 0

3 years ago

Read 2 more answers

What is the equation 12xyz – 45? A. monomial. B. constant. C. trinomial. D. binomial.

SVETLANKA909090 [29]

This <em>expression</em>, is a d. binomial

First term: 12xyz
Second term: -45

hope this helps

5 0

3 years ago

How does Bolsa describe Billy Joe? smart funny crazy

Ne4ueva [31]

Answer:

The ansswer is the last one. (Crazy)

Step-by-step explanation:

3 0

2 years ago

Show all work to factor x4 − 10x2 + 9 completely.

leva [86]

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2 - x^2+9

match coefficients in both groups

= x^4 -9x^2 - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

6 0

3 years ago

Read 2 more answers